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September, 1984 Approximate Likelihood and Probability Calculations Based on Transforms
Rollin Brant
Ann. Statist. 12(3): 989-1005 (September, 1984). DOI: 10.1214/aos/1176346716

Abstract

Probability distributions, especially in applications, are generally specified via density functions; alternative representations, including the characteristic function, moment generating function, and sequence of moments, are most commonly encountered in theoretical settings. These alternative means of specification do, however, give rise to the construction of certain approximations that can facilitate the implementation of likelihood methods or the calculation of probabilities, even when the density is not available in closed form. The feasibility of a unified treatment of this topic stems from a number of properties shared by probability transforms in general.

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Rollin Brant. "Approximate Likelihood and Probability Calculations Based on Transforms." Ann. Statist. 12 (3) 989 - 1005, September, 1984. https://doi.org/10.1214/aos/1176346716

Information

Published: September, 1984
First available in Project Euclid: 12 April 2007

zbMATH: 0542.62001
MathSciNet: MR751287
Digital Object Identifier: 10.1214/aos/1176346716

Subjects:
Primary: 62A10
Secondary: 60E10, 65U05

Rights: Copyright © 1984 Institute of Mathematical Statistics

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Vol.12 • No. 3 • September, 1984
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